Cracks Interaction Effect on the Dynamic Stability of Beams under Conservative and Nonconservative Forces

Erasmo Viola; Nicholas Fantuzzi; Alessandro Marzani

doi:10.4028/www.scientific.net/KEM.488-489.383

Paper Titles

The Influence of the Weld Width on Fracture Behaviour of the Heterogeneous Welded Joint
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Simulation of a Strategy for the Assessment of Damage in Human Bones by Using FEM and Signal Processing
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Effect of an Internal Open Crack on Pipes Wave Propagation
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On the Stress Intensity Factors of Cracked Beams for Structural Analysis
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Cracks Interaction Effect on the Dynamic Stability of Beams under Conservative and Nonconservative Forces
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Finite Temperature Nanovoids Evolution in FCC Metals Using Quasicontinuum Method
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Bone-Cement Interface Micromechanical Model under Cyclic Loading
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Comparison of Solutions of Stress Field Based on Hertzian and Combined Numerical-Crystallographic Approaches Beneath Nanoindenter
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Influence of Boundary Conditions on Higher Order Terms of Near-Crack-Tip Stress Field in a WST Specimen
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Cracks Interaction Effect on the Dynamic Stability of Beams under Conservative and Nonconservative Forces

Abstract:

This study is an extension of the paper by E. Viola and A. Marzani [1] where the eigenfrequencies and critical loads of a single cracked beam subjected to conservative and nonconservative forceshave been investigated. Here the aim is to analyze the dynamic stability of T cross section beams withmultiple cracks. A doubly cracked Euler-Bernoulli beam subjected to triangularly distributed subtangential forces, which are the combination of axial and tangential forces, is considered. The governingequation of the system is derived via the extended Hamilton’s principle in which the kinetic energy, theelastic potential energy, the conservative work and the nonconservative work are taken into account. Thelocal ﬂexibility matrix for a beam with T cross-section is used to model the cracked section. The resultsshow that for given boundary conditions cracked beams become unstable in the form of either ﬂutter ordivergence depending on the crack parameters, the nonconservativeness of the applied load as well as theinteraction of the two cracks.